dorsal/arxiv
View SchemaLow dimensional bound entanglement with one-way distillable cryptographic key
| Authors | Karol Horodecki, Lukasz Pankowski, Michal Horodecki, Pawel Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506203 |
| URL | https://arxiv.org/abs/quant-ph/0506203 |
| DOI | 10.1109/TIT.2008.921709 |
| Journal | IEEE Trans. Inf. Theory 54, 2621 (2008) |
Abstract
We provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is $4 \otimes 4$, which shows that peculiar security contained in bound entangled states does not need high dimensional systems. We show, that for these states a positive key rate can be obtained by {\it one-way} Devetak-Winter protocol. Subsequently the volume of bound entangled key-distillable states in arbitrary dimension is shown to be nonzero. We provide a scheme of verification of cryptographic quality of experimentally prepared state in terms of local observables. Proposed set of 7 collective settings is proven to be optimal in number of settings.
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"abstract": "We provide a class of bound entangled states that have positive distillable\nsecure key rate. The smallest state of this kind is $4 \\otimes 4$, which shows\nthat peculiar security contained in bound entangled states does not need high\ndimensional systems. We show, that for these states a positive key rate can be\nobtained by {\\it one-way} Devetak-Winter protocol. Subsequently the volume of\nbound entangled key-distillable states in arbitrary dimension is shown to be\nnonzero. We provide a scheme of verification of cryptographic quality of\nexperimentally prepared state in terms of local observables. Proposed set of 7\ncollective settings is proven to be optimal in number of settings.",
"arxiv_id": "quant-ph/0506203",
"authors": [
"Karol Horodecki",
"Lukasz Pankowski",
"Michal Horodecki",
"Pawel Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1109/TIT.2008.921709",
"journal_ref": "IEEE Trans. Inf. Theory 54, 2621 (2008)",
"title": "Low dimensional bound entanglement with one-way distillable cryptographic key",
"url": "https://arxiv.org/abs/quant-ph/0506203"
},
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